Nonpolar singularities of local zeta functions in some smooth case

Joe Kamimoto, Toshihiro Nose

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


It is known that local zeta functions associated with real analytic functions can be analytically continued as meromorphic functions to the whole complex plane. In this paper, the case of specific (nonreal analytic) smooth functions is precisely investigated. Indeed, asymptotic limits of the respective local zeta functions at some singularities in one direction are explicitly computed. Surprisingly, it follows from these behaviors that these local zeta functions have singularities different from poles.

Original languageEnglish
Pages (from-to)661-676
Number of pages16
JournalTransactions of the American Mathematical Society
Issue number1
Publication statusPublished - 2019

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics


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